How to calculate the transition energy for the pure rotational transition j?
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For a diatomic molecule in a  electronic state, we observe a microwave transition from J = 1 to J = 2 in the presence of an electric field. How many lines will appear in the spectrum?
The selection rules for rotational transitions in a electronic state are  and , where there are  values of  (i.e. ). The following transitions are allowed:
J = 1, MJ = +1 to J = 2, MJ = +2, +1, 0
J = 1, MJ = 0 to J = 2, MJ = +1, 0, -1
J = 1, MJ = -1 to J = 2, MJ = 0, -1, -2
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